Figure 2 (EP). 13 shows the orientation of two vectors ` vec u` and `vec v` in the (XY) plane.
If ` vec u = a hat i + b hat j` and ` vec v = p hat i+ q hat j` which of the following is correct ?
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Options

A. a and p are positive while b and q are negative
B. a,p and b are positive while q is negative
C. aq and b are positive while p is negative
D. a,b,p and q are all positive

Answer

B

Explanation

Clearly from the diagram, `u= a hat(i) + b hat(j)`
As u is in the first quadrant, hence both components a and b will be positive
For `v= p hat(i) + q hat(j)`, as it is in positive x-direction and located downward hence x-component p will be positive and y-component q will be negative.